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Valid inequalities for the topology optimization problem in gas network design

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Abstract

One quarter of Europe’s energy demand is provided by natural gas distributed through a vast pipeline network covering the whole of Europe. At a cost of 1 million Euro per km extending the European pipeline network is already a multi-billion Euro business. Therefore, automatic planning tools that support the decision process are desired. Unfortunately, current mathematical methods are not capable of solving the arising network design problems due to their size and complexity. In this article, we will show how to apply optimization methods that can converge to a proven global optimal solution. By introducing a new class of valid inequalities that improve the relaxation of our mixed-integer nonlinear programming model, we are able to speed up the necessary computations substantially.

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Acknowledgments

We are grateful to Open Grid Europe GmbH (OGE, Essen/Germany) and all members of the Forschungskooperation Netzoptimierung (ForNe) for supporting our work. Coauthor Armin Fügenschuh conducted parts of this research under a Konrad Zuse Junior Fellowship. Parts of this research have been supported by the German Ministry for Economic Affairs and Energy. We thank two anonymous referees for carefully reading our manuscript and their various comments helping us to improve its quality.

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Authors and Affiliations

  1. Zuse Institute Berlin, Takustr. 7, 14195, Berlin, Germany

    Jesco Humpola & Thorsten Koch

  2. Helmut Schmidt University, University of the Federal Armed Forces Hamburg, Holstenhofweg 85, 22043, Hamburg, Germany

    Armin Fügenschuh

  3. Technische Universität Berlin, Str. des 17. Juni 136, 10623, Berlin, Germany

    Thorsten Koch

Authors
  1. Jesco Humpola
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  2. Armin Fügenschuh
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  3. Thorsten Koch
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Correspondence to Jesco Humpola.

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Humpola, J., Fügenschuh, A. & Koch, T. Valid inequalities for the topology optimization problem in gas network design. OR Spectrum 38, 597–631 (2016). https://doi.org/10.1007/s00291-015-0390-2

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